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3 years ago

8

10 8 12 10 14 ? a. 16 b. 10 c. 12 d. 18

1 answer:

ahrayia [7]3 years ago

3 0

Answer:

12

Step-by-step explanation:

10 8 subtract 2

8 12 add 4

12-10 subtract 2

10 14 add 4

Now we subtract 2

14-2 = 12

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Point p’ (1,5) is the image of p (-3,1) under a translation<br><br> khan academy

GarryVolchara [31]

Answer:

<h2>X = $\frac{-x}{3}$ </h2><h2>Y = 5y.</h2>

Step-by-step explanation:

We need to find the translation for which, (-3, 1) becomes (1, 5).

-3 will become 1, if it is divided by -3.

Hence, the translation for x axis is X = $\frac{-x}{3}$ .

1 will become 5, when it is multiplied by 5.

Hence, The translation for y axis is Y = 5y.

6 0

3 years ago

Read 2 more answers

What is the factorization of 729^15+1000?

igomit [66]

Answer:

The factorization of $729x^{15} +1000$ is $(9x^{5} +10)(81x^{10} -90x^{5} +100)$

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form $(a^{3} +b^{3} )$ or $(a^{3} -b^{3})$ . It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of $729x^{15} +1000$ by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation $729x^{15} +1000$ , and the exponent of the letter x is divided by 3.

$\sqrt[3]{729x^{15}} =9x^{5}$

$1000=10^{3}$ then $\sqrt[3]{10^{3}} =10$

So, we got that

$729x^{15} +1000=(9x^{5})^{3} + (10)^{3}$ which has the form of $(a^{3} +b^{3} )$ which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

$(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})$

with $a= 9x^{5}$ y $b=10$

2.) Solving the sum of cubes.

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )$

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)$

.

8 0

3 years ago

Debbie is running to raise money for a fundraiser. If her goal is to run 56 miles , how many days will debbie need to run if she

Nina [5.8K]

Answer:

32 days.

Step-by-step explanation:

56 / 1.75 = 56 / (7/4) = 56 * 4 / 7 = 32.

3 0

3 years ago

Solve each problem and check your answer using estimates. a. $18.79 + $2.11 + ‐$1.92 + $17.28 b. $7.45 + ‐$24.45 + $74.17 + ‐$76

Aneli [31]

The solution to the linear expressions are:

a. $36.26
b. -$19.35
c. $70.38

<h3>Solving linear expressions:</h3>

The solution to linear expression is determined by taking into consideration the arithmetic operations used in each linear expression.

From the information given:

a. $18.79 + $2.11 + ‐$1.92 + $17.28

By rearrangement:

= $18.79 + $2.11 + $17.28 ‐$1.92

= $36.26

b. $7.45 + ‐$24.45 + $74.17 + ‐$76.52

By rearrangement:

= $7.45 + $74.17 ‐ $24.45 ‐ $76.52

= -$19.35

c. $98.45 − $10.63 + $2.82 − $20.26

By rearrangement:

= $98.45 + $2.82 − $10.63 − $20.26

= $70.38

Learn more about solving linear expressions here:

brainly.com/question/2030026

#SPJ1

7 0

2 years ago

Check if 5/11 and 7/6 are rational numbers.

LekaFEV [45]

Answer:

they are rational numbers

Step-by-step explanation:

Any fraction with integers in numerator and denominator is a rational number.

__

5, 6, 7, 11 are integers, so the fractions 5/11 and 7/6 are rational numbers.

8 0

2 years ago